Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22304b |
Isogeny class |
Conductor |
22304 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2368 |
Modular degree for the optimal curve |
Δ |
-356864 = -1 · 29 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 3 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,184] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-38614472/697 |
j-invariant |
L |
3.8542798031566 |
L(r)(E,1)/r! |
Ω |
3.0297518928952 |
Real period |
R |
1.2721437066167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22304a1 44608l1 |
Quadratic twists by: -4 8 |